Question

Se (0,4)^4x+1=raiz cubica de 5/2, entao "x" vale:
a)-1/6
b)-1/3
c)-1/2
d)1/2
e)1/5

Answer 1

$(0,4)^{4x+1}= \sqrt[3]{ \frac{5}{2} }$

$0,4= \frac{4}{10}= \frac{2}{5}$

$(\frac{2}{5})^{4x+1}= (\frac{5}{2})^{ \frac{1}{3} }$
$(\frac{2}{5})^{4x+1}= (\frac{2}{5})^{ -\frac{1}{3} }$
$4x+1= -\frac{1}{3}$
$4x= -\frac{1}{3}-1$
$4x= -\frac{4}{3}$
$x= \frac{ -\frac{4}{3} }{4}$
$x= -\frac{4}{3}. \frac{1}{4}$
$x= -\frac{1}{3}$(Alternativa B)

Answer 2

Resposta: Alternativa B

Explicação passo a passo: